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A set of data consists of 3 integers. What is the standard

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Manager
Joined: 09 Oct 2008
Posts: 93

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A set of data consists of 3 integers. What is the standard [#permalink]

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09 Oct 2008, 21:19
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A set of data consists of 3 integers. What is the standard deviation for this set of data?
(1) The average (arithmetic mean) and the median are both 3.
(2) The mode is 3.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D. Either statement BY ITSELF is sufficient to answer the question.
E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, meaning that further information would be needed to answer the question.

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SVP
Joined: 17 Jun 2008
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09 Oct 2008, 22:37
C.

From stmt1, (x+3+y)/3 = 3 or x +y = 6 and x<=3<=y

Hence, (x,y) can be (1,5), (2,4), etc.

Stmt2 is by itself not sufficient.

Combining stmt1 and stmt2, if x or y is 3 then all the three will be 3....and std deviation will be 0.

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Manager
Joined: 10 Aug 2008
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10 Oct 2008, 01:47
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1st statement
--------------

Median = 3 , Mean = 3
x,3,y is sequence of ascending order
3 + x+ Y = 9 => x+y = 6
That means (x,y) can be (1,5), (2,4) Or (3,3)

2nd statement
--------------
Mode = 3, that means 3 appears more than 1 time. so only possible value for x & y is 3.

Now we can easily calculate the Standard Deviation

IMO C)

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Re: DS.. Deviation mode..   [#permalink] 10 Oct 2008, 01:47
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